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Finding the Third Proportional to 6.19 and 10.16

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Solution

The third proportional to 6.19 and 10.16 is: 16.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.19 : 10.16 = 10.16 : x
  2. Step 2: Convert to fraction form
    6.19/10.16 = 10.16/x
  3. Step 3: Cross multiply
    6.19x = 10.16 × 10.16
  4. Step 4: Simplify right side
    6.19x = 103.23
  5. Step 5: Solve for x
    x = 103.23/6.19
  6. Step 6: Final answer
    x = 16.68

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.